Search a number
-
+
105482732436 = 22341987163847
BaseRepresentation
bin110001000111101000…
…0101100001110010100
3101002021021101000020000
41202033100230032110
53212012034414221
6120242541011300
710422650301114
oct1421720541624
9332237330200
10105482732436
114080a286134
1218539b53b30
139c40688913
1451692a1044
152b25747e26
hex188f42c394

105482732436 has 60 divisors (see below), whose sum is σ = 275893160928. Its totient is φ = 35143000848.

The previous prime is 105482732423. The next prime is 105482732437. The reversal of 105482732436 is 634237284501.

105482732436 is a `hidden beast` number, since 1 + 0 + 548 + 2 + 73 + 2 + 4 + 36 = 666.

It is a super-2 number, since 2×1054827324362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105482732391 and 105482732400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105482732437) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 561865 + ... + 725711.

Almost surely, 2105482732436 is an apocalyptic number.

It is an amenable number.

105482732436 is an abundant number, since it is smaller than the sum of its proper divisors (170410428492).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105482732436 is a wasteful number, since it uses less digits than its factorization.

105482732436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165850 (or 165839 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 105482732436 in words is "one hundred five billion, four hundred eighty-two million, seven hundred thirty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1987 3974 5961 7948 11922 17883 23844 35766 53649 71532 107298 160947 163847 214596 321894 327694 491541 643788 655388 983082 1474623 1966164 2949246 4423869 5898492 8847738 13271607 17695476 26543214 53086428 325563989 651127978 976691967 1302255956 1953383934 2930075901 3906767868 5860151802 8790227703 11720303604 17580455406 26370683109 35160910812 52741366218 105482732436